Fig. 9.

Scatter plots in 3D. Four states in the (x, y, z) plane, where the swarmalators are colored according to their phase. Data were collected for J = 0.5 and N = 1000 swarmalators for T = 5000 time units with stepsize dt = 0.001 using Heun’s method. a Static async state for K = −1. b Static phase wave for K = 0 c Splintered phase wave for K = −0.05. d Active phase wave state for K = −0.6. Supplementary Movies 9–12 correspond to panels a–d